TSTP Solution File: SCT002-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SCT002-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:38:10 EDT 2024
% Result : Unsatisfiable 0.15s 0.34s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SCT002-1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon Apr 29 20:18:50 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.15/0.34 % Drodi V3.6.0
% 0.15/0.34 % Refutation found
% 0.15/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.34 fof(f646,axiom,(
% 0.15/0.34 (![V_x,V_z,T_a,V_r,V_y]: (( hBOOL(c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)))| ~ hBOOL(c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)))| ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)))| ~ c_Relation_Otrans(V_r,T_a) ) ))),
% 0.15/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f651,negated_conjecture,(
% 0.15/0.34 c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt) ),
% 0.15/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f652,negated_conjecture,(
% 0.15/0.34 (![V_x]: (~ hBOOL(c_in(c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ))),
% 0.15/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f653,negated_conjecture,(
% 0.15/0.34 hBOOL(c_in(c_Pair(v_y,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
% 0.15/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f654,negated_conjecture,(
% 0.15/0.34 hBOOL(c_in(c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
% 0.15/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f1622,plain,(
% 0.15/0.34 ![T_a,V_r]: ((![V_x,V_y]: ((![V_z]: (hBOOL(c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)))|~hBOOL(c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)))))|~hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)))))|~c_Relation_Otrans(V_r,T_a))),
% 0.15/0.34 inference(miniscoping,[status(esa)],[f646])).
% 0.15/0.34 fof(f1623,plain,(
% 0.15/0.34 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)))|~hBOOL(c_in(c_Pair(X4,X1,X2,X2),X3,tc_prod(X2,X2)))|~hBOOL(c_in(c_Pair(X0,X4,X2,X2),X3,tc_prod(X2,X2)))|~c_Relation_Otrans(X3,X2))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f1622])).
% 0.15/0.34 fof(f1631,plain,(
% 0.15/0.34 c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f651])).
% 0.15/0.34 fof(f1632,plain,(
% 0.15/0.34 ![X0]: (~hBOOL(c_in(c_Pair(X0,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f652])).
% 0.15/0.34 fof(f1633,plain,(
% 0.15/0.34 hBOOL(c_in(c_Pair(v_y,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f653])).
% 0.15/0.34 fof(f1634,plain,(
% 0.15/0.34 hBOOL(c_in(c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f654])).
% 0.15/0.34 fof(f1677,plain,(
% 0.15/0.34 spl0_2 <=> hBOOL(c_in(c_Pair(X0,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~hBOOL(c_in(c_Pair(X0,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f1678,plain,(
% 0.15/0.34 ![X0]: (hBOOL(c_in(c_Pair(X0,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~hBOOL(c_in(c_Pair(X0,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~spl0_2)),
% 0.15/0.34 inference(component_clause,[status(thm)],[f1677])).
% 0.15/0.34 fof(f1680,plain,(
% 0.15/0.34 spl0_3 <=> c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f1682,plain,(
% 0.15/0.34 ~c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)|spl0_3),
% 0.15/0.34 inference(component_clause,[status(thm)],[f1680])).
% 0.15/0.34 fof(f1683,plain,(
% 0.15/0.34 ![X0]: (hBOOL(c_in(c_Pair(X0,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~hBOOL(c_in(c_Pair(X0,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt))),
% 0.15/0.35 inference(resolution,[status(thm)],[f1623,f1634])).
% 0.15/0.35 fof(f1684,plain,(
% 0.15/0.35 spl0_2|~spl0_3),
% 0.15/0.35 inference(split_clause,[status(thm)],[f1683,f1677,f1680])).
% 0.15/0.35 fof(f1695,plain,(
% 0.15/0.35 $false|spl0_3),
% 0.15/0.35 inference(forward_subsumption_resolution,[status(thm)],[f1682,f1631])).
% 0.15/0.35 fof(f1696,plain,(
% 0.15/0.35 spl0_3),
% 0.15/0.35 inference(contradiction_clause,[status(thm)],[f1695])).
% 0.15/0.35 fof(f1697,plain,(
% 0.15/0.35 hBOOL(c_in(c_Pair(v_y,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~spl0_2),
% 0.15/0.35 inference(resolution,[status(thm)],[f1678,f1633])).
% 0.15/0.35 fof(f1698,plain,(
% 0.15/0.35 $false|~spl0_2),
% 0.15/0.35 inference(forward_subsumption_resolution,[status(thm)],[f1697,f1632])).
% 0.15/0.35 fof(f1699,plain,(
% 0.15/0.35 ~spl0_2),
% 0.15/0.35 inference(contradiction_clause,[status(thm)],[f1698])).
% 0.15/0.35 fof(f1700,plain,(
% 0.15/0.35 $false),
% 0.15/0.35 inference(sat_refutation,[status(thm)],[f1684,f1696,f1699])).
% 0.15/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.36 % Elapsed time: 0.061478 seconds
% 0.15/0.36 % CPU time: 0.097204 seconds
% 0.15/0.36 % Total memory used: 23.668 MB
% 0.15/0.36 % Net memory used: 23.614 MB
%------------------------------------------------------------------------------